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Finding the Third Proportional to 427,836.94 and 916,403.63

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Solution

The third proportional to 427,836.94 and 916,403.63 is: 1,962,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,836.94 : 916,403.63 = 916,403.63 : x
  2. Step 2: Convert to fraction form
    427,836.94/916,403.63 = 916,403.63/x
  3. Step 3: Cross multiply
    427,836.94x = 916,403.63 × 916,403.63
  4. Step 4: Simplify right side
    427,836.94x = 839,795,603,913.14
  5. Step 5: Solve for x
    x = 839,795,603,913.14/427,836.94
  6. Step 6: Final answer
    x = 1,962,887.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.